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Finding the Fourth Proportional to 194,984, 292,477.60 and 47,240

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Solution

The fourth proportional to 194,984, 292,477.60 and 47,240 is: 70,860.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,984 : 292,477.60 = 47,240 : x
  2. Step 2: Convert to fraction form
    194,984/292,477.60 = 47,240/x
  3. Step 3: Cross multiply
    194,984x = 292,477.60 × 47,240
  4. Step 4: Simplify right side
    194,984x = 13,816,641,824.00
  5. Step 5: Solve for x
    x = 13,816,641,824.00/194,984
  6. Step 6: Final answer
    x = 70,860.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.